On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations
College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
Boundary Value Problems 2009, 2009:156063 doi:10.1155/2009/156063Published: 27 September 2009
Using Mountain Pass Lemma, we obtain the existence of nontrivial weak solutions for a class of superlinear and nonhomogeneous quasilinear equations. The key factor in this paper is to use the new idea of near p-homogeneity in conjunction with variational techniques to obtain a new multiplicity result for a vast set of nonlinear equations, such as the mean curvature equation and so on.